ACT Math
Lesson Plan
No-solution and infinite-solution systems
Goals / Objectives
Determine whether a system of two linear equations has exactly one solution, no solution, or infinitely many solutions — from what elimination leaves (a solvable equation, a false statement such as 0 = 7, or an identity such as 0 = 0) or, without solving, by comparing slopes and then intercepts — and explain each case as crossing, parallel or coincident lines
Produce several solutions of a system with infinitely many solutions
Classify a system as consistent-independent, consistent-dependent, or inconsistent
Find the value of a parameter that forces a system to have no solution or infinitely many
Standards
A 604. Solve systems of two linear equations AF 503. Match linear equations with their graphs in the coordinate plane A 514. Determine the slope of a line from an equation AF 703. Analyze and draw conclusions based on properties of algebra and/or functions AF 704. Analyze and draw conclusions based on information from graphs in the coordinate plane
Academic Vocabulary
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Homework
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